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Finding the Third Proportional to 71,953 and 146,760

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Solution

The third proportional to 71,953 and 146,760 is: 299,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,953 : 146,760 = 146,760 : x
  2. Step 2: Convert to fraction form
    71,953/146,760 = 146,760/x
  3. Step 3: Cross multiply
    71,953x = 146,760 × 146,760
  4. Step 4: Simplify right side
    71,953x = 21,538,497,600
  5. Step 5: Solve for x
    x = 21,538,497,600/71,953
  6. Step 6: Final answer
    x = 299,341.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.